| Title:
|
Prolongation of vector fields to jet bundles (English) |
| Author:
|
Kolář, Ivan |
| Author:
|
Slovák, Jan |
| Language:
|
English |
| Journal:
|
Proceedings of the Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1989 |
| Year:
|
|
| Pages:
|
[103]-111 |
| . |
| Category:
|
math |
| . |
| Summary:
|
[For the entire collection see Zbl 0699.00032.] \par In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation $J\sp rY$ are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M. (English) |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| MSC:
|
58F25 |
| idZBL:
|
Zbl 0712.58007 |
| idMR:
|
MR1061792 |
| . |
| Date available:
|
2009-07-13T21:24:41Z |
| Last updated:
|
2025-06-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701465 |
| . |
